Somewhat-connectedness and somewhat-continuity in the product space
محورهای موضوعی : General topology
M. S. Bilao
1
(Department of Mathematics and Statistics, Mindanao State University-Iligan Institute of Technology, 9200 Iligan City, Philippines)
M. A. Labendia
2
(Department of Mathematics and Statistics, Mindanao State University-Iligan Institute of Technology, 9200 Iligan City, Philippines)
کلید واژه: Somewhat-open, somewhat-closed, somewhat-connected, somewhat-continuous,
چکیده مقاله :
In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $\omega_\theta$-connectedness, and the $\omega$-connectedness will be determined. Moreover, the concept of \textit{somewhat}-continuous function from an arbitrary topological space into the product space will be characterized.
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